Holographic Entanglement Entropy in Insulator/Superconductor Transition

Abstract

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted gravitational background describing the insulator/superconductor phase transition. The non-monotonic behavior of the entanglement entropy is found in this system. In the belt geometry case, there exist four phases characterized by the chemical potential and belt width.

v2: 18 pages, 12 figures, references and figures added, minor corrections made

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• Holographic Entanglement Entropy in the QCD Phase Diagram with a Critical Point
• Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors
• Holographic Entanglement Entropy and Confinement
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems
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• Holographic entanglement entropy in two-order insulator/superconductor transitions
• Holographic Superconductors in a Rotating Spacetime
• The mixed-state entanglement in holographic p-wave superconductor model
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
• Holographic entanglement properties in the QCD phase diagram from EMD models
• What's inside a hairy black hole in massive gravity?
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• Holographic timelike entanglement and subregion complexity with scalar hair
• Entanglement Entropy of $Ad{S}_5\times S^5$ with massive flavors